Let

. Then

and

are two fundamental, linearly independent solution that satisfy


Note that

, so that

. Adding

doesn't change this, since

.
So if we suppose

then substituting

would give

To make sure everything cancels out, multiply the second degree term by

, so that

Then if

, we get

as desired. So one possible ODE would be

(See "Euler-Cauchy equation" for more info)
Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?
Answer:
Step-by-step explanation:
Given:
Sam divided a rectangle into 8 congruent rectangles that each have an area of 
We need to find the area of the rectangle before Sam divided it.
The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.
Area of the rectangle =
Area of the congruent rectangle is 
So the area of the rectangle is
Area of the rectangle =
Area of the rectangle =
Therefore the area of the rectangle before divided is
3y + 9x = 12
3y = -9x + 12
y = -3x + 4
If you want function notation you can replace y with f(x)
f(x) = -3x + 4
Answer:
60 cm^2 (dark blue)
Step-by-step explanation:
Since a rhombus's diagonal bisect each other, the diagonal's full length is 10 and 12. From there the area is 10*12 / 2 which is 60